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find the values k for which the quadrati...

find the values `k` for which the quadratic equation `2x^2 + Kx +3=0` has two real equal roots

A

lies between 1 and 2

B

lies between 2 and 3

C

lies between -1 and 0

D

does not exist

Text Solution

Verified by Experts

The correct Answer is:
4
`f(X)=2x^(3)+3x+k`
`f(X)=6x^(2)+3gt0 forallx`
`therefore` f(X) is increasing
`therefore` f(x)=0 has only one real root
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